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nbodyphysics.com | ||
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www.stochasticlifestyle.com
I found these notes from August 2018 and thought they might be useful so I am posting them verbatim. A stiff ordinary differential equation is a difficult problem to integrator. However, many of the ODE solver suites offer quite a few different choices for this kind of problem. DifferentialEquations.jl offers almost 200 different choices for example. In this article we will dig into what the differences between these integrators really is so that way you can more easily find which one will be most efficient for your problem. Quick Overview (tl;dr) A BDF, Rosenbrock, ESDIRK method are standard For small equations, Rosenbrock methods have performance advantages For very stiff systems, Rosenbrock and Rosenbrock-W methods do not require convergence of Newton's m... |
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andrewkchan.dev
[AI summary] The text provides an in-depth explanation of simulating fluids and fire using computational methods. It covers topics like Navier-Stokes equations, vorticity confinement, curl noise turbulence, combustion models, thermal buoyancy, and rendering techniques. The discussion includes both theoretical foundations and practical implementations using GPU-based simulations. The text also touches on advanced topics like dynamic obstacles and non-grid-based simulation methods. |
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kidger.site
Personal website. Math, SciML, scuba diving! |
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azdavis.net
Various varieties of function in programming languages. |
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